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Ugo [173]
3 years ago
8

What are the values of a1 and r of the geometric series?

Mathematics
1 answer:
tester [92]3 years ago
4 0

Answer:

r = 1/3

= 1

Step-by-step explanation:

1 + 1/3 + 1/9 + 1/27 + 1/ 81

In this series a is the first  term = 1

r is the common ratio = 2nd term/1st term = 3rd term/ 2nd term

r = 1/3 ÷ 1 = 1/9 ÷ 1/3

r = 1/3

I hope this was helpful, please mark as brainliest

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Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.
MrRa [10]

Answer:

<em> The numbers are 6, 18, and 30 </em>

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

<em>If 10 is added to the last number to form an arithmetic progression</em>

<em>Then, 3x 9x (10x+10) are the progression</em>

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

<em>Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10</em>

<em>Substituting these values into equation 1</em>

<em>9x-3x = (10x+10)-9x</em>

<em>Solving the equation above,</em>

<em>3x = 10+x</em>

<em>3x-x = 10</em>

<em>2x = 10</em>

<em>x = 10/2</em>

<em>x = 2.</em>

<em>Therefore the numbers are 6, 18, and 30 </em>

<em />

7 0
3 years ago
What is the missing term?
pishuonlain [190]

Answer:

- 15

Step-by-step explanation:

5 * -3 = -15

4 0
3 years ago
Read 2 more answers
Find the area of the trapezoid shown below. {?} square feet
PolarNik [594]

Answer:

432

Step-by-step explanation:

6 0
2 years ago
1. What is the slope of the line tangent to the curve defined by y2 + xy - x2 = 11x at the point (2, 3)?
andreyandreev [35.5K]

Step-by-step explanation:

By using Implicit Differentiation,

d/dx (y² + xy - x²) = d/dx (11x)

d/dx (y²) + d/dx (xy) - d/dx (x²) = 11

2y * dy/dx + x * dy/dx + y - 2x = 11

dy/dx (2y + x) = 11 + 2x - y

dy/dx = (11 + 2x - y) / (2y + x).

At the point (2, 3), we have x = 2, y = 3.

=> dy/dx = (11 + 2(2) - (3)) / (2(3) + (2))

= 12 / 8 = 1.5.

P.S. Your question is weird because (2,3) is not on the graph, let me know what is the correct question thanks!

7 0
3 years ago
What is the inverse of the function ?
CaHeK987 [17]

The inverse of the function is h(x)=4x+48

4 0
3 years ago
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